Summary

Mesh parameterization is a powerful geometry processing tool with numerous computer graphics applications, from texture mapping to animation transfer. This course outlines its mathematical foundations, describes recent methods for parameterizing meshes over various domains, discusses emerging tools like global parameterization and inter-surface mapping, and demonstrates a variety of parameterization applications. Prerequisites The audience should have had some prior exposure to mesh representation of geometric models and a working knowledge of vector calculus, elementary linear algebra, and the fundamentals of computer graphics. Optional pre-requisites: some lectures may also assume some familiarity with differential geometry and graph theory. Intended Audience Graduate students, researchers, and application developers who seek to understand the concepts and technologies used in mesh parameterization and wish to utilize them. Lis-teners get an overview of the spectrum of processing applications that benefit from para-meterization and learn how to evaluate different methods in terms of specific application requirements. Sources These course notes include material of two recent surveys on mesh parameterization co-authored by the course organizers: • M. S. Floater and K. Hormann. Surface parameterization: a tutorial and sur-vey. In Advances in Multiresolution for Geometric Modelling, Mathematics an